6th grade

Big Ideas Math, Grade 6 (Green) Textbook:

Grade 6 Overview


Ratios and Proportional Relationships

    • Understand ratio concepts and use ratio reasoning to solve problems.

The Number System

    • Apply and extend previous understandings of multiplication and division to divide fractions by fractions.

    • Multiply and divide multi-digit numbers and find common factors and multiples.

    • Apply and extend previous understandings of numbers to the system of rational numbers.

Expressions and Equations

    • Apply and extend previous understandings of arithmetic to algebraic expressions.

    • Reason about and solve one-variable equations and inequalities.

    • Represent and analyze quantitative relationships between dependent and independent variables.


    • Solve real-world and mathematical problems involving area, surface area, and volume.

Statistics and Probability

    • Develop understanding of statistical variability.

    • Summarize and describe distributions.

Mathematical Practices

    • Make sense of problems and persevere in solving them.

    • Reason abstractly and quantitatively.

    • Construct viable arguments and critique the reasoning of others.

    • Model with mathematics.

    • Use appropriate tools strategically.

    • Attend to precision.

    • Look for and make use of structure.

    • Look for and express regularity in repeated reasoning.